Results 11 to 20 of about 679 (54)
A comparison principle for nonlinear heat Rockland operators on graded groups
Bulletin of the London Mathematical Society, Volume 50, Issue 5, Page 753-758, October 2018., 2018 Abstract In this note we show a comparison principle for nonlinear heat Rockland operators on graded groups. We give a simple proof for it using purely algebraic relations. As an application of the established comparison principle we prove the global in t‐boundedness of solutions for a class of nonlinear equations for the heat p‐sub‐Laplacian on ...
Michael Ruzhansky, Durvudkhan Suragan
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An Lp − Lq version of Hardy′s theorem for spherical Fourier transform on semisimple Lie groups
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 33, Page 1757-1769, 2004., 2004 We consider a real semisimple Lie group G with finite center and K a maximal compact subgroup of G. We prove an Lp − Lq version of Hardy′s theorem for the spherical Fourier transform on G. More precisely, let a, b be positive real numbers, 1 ≤ p, q ≤ ∞, and f a K‐bi‐invariant measurable function on G such that ha−1f∈Lp(G) and eb‖λ‖2ℱ(f)∈Lq(𝔞+*) (ha is ...
S. Ben Farah, K. Mokni, K. Trimèche
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Geodesically Complete Lorentzian Metrics on Some Homogeneous 3 Manifolds [PDF]
, 2008 In this work it is shown that a necessary condition for the completeness of the geodesics of left invariant pseudo-Riemannian metrics on Lie groups is also sufficient in the case of 3-dimensional unimodular Lie groups, and not sufficient for 3 ...
Bromberg, Shirley, Medina, Alberto
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Hausdorff measure of the singular set of quasiregular maps on Carnot groups
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 35, Page 2203-2220, 2003., 2003 Recently, the theory of quasiregular mappings on Carnot groups has been developed intensively. Let ν stand for the homogeneous dimension of a Carnot group and let m be the index of the last vector space of the corresponding Lie algebra. We prove that the (ν − m − 1)‐dimensional Hausdorff measure of the image of the branch set of a quasiregular mapping ...
Irina Markina
wiley +1 more source
The Fourier transforms of Lipschitz functions on certain domains
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 4, Page 817-822, 1997., 1997 The Fourier transforms of certain Lipschitz functions are discussed and compared with the Hankel transforms of these functions and with their Fourier transforms on the Euclidean Cartan Motion group M(n), n ≥ 2.
M. S. Younis
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Genetic Variants of the Renin-Angiotensin-Aldosterone System and Reverse Remodeling After Cardiac Resynchronization Therapy [PDF]
, 2012 Background: Reverse remodeling (RR) after cardiac resynchronization therapy (CRT) is associated with favorable clinical outcomes in heart failure (HF). The renin-angiotensin-aldosterone system (RAAS) is involved in the remodeling process.
Bianchi, M. +11 more
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A new differentiation, shape of the unit ball and perimeter measure [PDF]
, 2015 We present a new blow-up method that allows for establishing the first general formula to compute the perimeter measure with respect to the spherical Hausdorff measure in noncommutative nilpotent groups. This result leads us to an unexpected relationship
Magnani, Valentino
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Analytic Dirac approximation for real linear algebraic groups
, 2010 For a real linear algebraic group G let A(G) be the algebra of analytic vectors for the left regular representation of G on the space of superexponentially decreasing functions. We present an explicit Dirac sequence in A(G).
Lienau, Christoph
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A Semigroup associated to a linear control system on a Lie group
, 2016 Let us consider a linear control system \Sigma on a connected Lie group G. It is known that the accessibility set A from the identity e is in general not a semigroup. In this article we associate a new algebraic object S to \Sigma which turns out to be a
Ayala, Victor, da Silva, Adriano
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Smoothness of convolution products of orbital measures on rank one compact symmetric spaces
, 2015 We prove that all convolution products of pairs of continuous orbital measures in rank one, compact symmetric spaces are absolutely continuous and determine which convolution products are in $L^{2}$ (meaning, their density function is in $L^{2 ...
Hare, Kathryn, He, Jimmy
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